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Vera_Pavlovna [14]
3 years ago
10

What is the value of x in the diagram?

Mathematics
1 answer:
Verizon [17]3 years ago
5 0
2 lines parallel, and 2 triangles have a common angle
So the smaller Δ  is similar to the bigger Δ (AA Similarity)
9:(4x-2)+9=12:(3x+2)+12
9:4x+7=12:3x+14
9(3x+14)=12(4x+7)
27x+126=48x+84
21x=42
x=2
So the answer is x=2


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Answer:

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Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.

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